0
2x2 = 3x + 35
2x2 - 3x - 35 = 0
Now our equation is in the form expected to use with the quadratic equation:
(-b +/- sqrt(b2 - 4ac)) / 2a
When we plug in our values:
(-(-3) +/- sqrt((-3)2 - 4(2)(-35))) / 2(2)
= ((3) +/- sqrt(9 - 4(-70))) / (4)
= ((3) +/- sqrt(9 - (-280))) / (4)
= ((3) +/- sqrt(9 + (280))) / (4)
= ((3) +/- sqrt(289)) / (4)
= ((3) +/- sqrt(289)) / (4)
= ((3) +/- 17) / (4)
= (20) / (4), (-14) / (4)
x = 5, -3.5
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